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On the Correct Solvability of One Cauchy Problem

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Abstract

We establish a criterion for convolutors in certain S-type spaces. Using this criterion, we prove the correct solvability (in both directions) of one Cauchy problem in these spaces.

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Authors and Affiliations

  1. Chernivtsi University, Chernivtsi

    V. A. Litovchenko

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  1. V. A. Litovchenko
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Litovchenko, V.A. On the Correct Solvability of One Cauchy Problem. Ukrainian Mathematical Journal 54, 1281–1294 (2002). https://doi.org/10.1023/A:1023479406727

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  • DOI: https://doi.org/10.1023/A:1023479406727

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